In this article we show how it is possible to decouple the Ericksen-Leslie equations, thereby allowing us to derive a dynamic equation for the director in which the ﬂow velocity is absent. The ﬂow itself can then be expressed as a function of the director orientation proﬁle. Using this approach, we examine the Freedericksz transition of a nematic liquid crystal and solve the corresponding decoupled dynamic equation numerically. We show how our model still predicts the reduction of the eﬀective viscosity and backﬂow. More signiﬁcantly, while kickback is also present, we demonstrate how kick-back can be avoided by an appropriate choice of applied voltage during the switch-on process.
- Ericksen-Leslie equations
- Freedericksz transition